Partial Product
What is a partial product?
A partial product is a result obtained by multiplying one digit of a number by another number, which is then added to other partial products.
What is 23×14?
322.
What is one strategy to multiply using partial products?
Break the numbers into tens and ones to make calculations easier.
How do you find a partial product?
You break each number into tens and ones, multiply each part separately, and then add the results together.
What is 45×12 ?
540
How can you check your work after using partial products?
You can add the partial products together and compare it to the final answer.
Give an example of a partial product.
For 23×14, you would find 20×10, 20×4, 3×10, and 3×4.
What is 36×24 ?
864
Describe how you can break apart the numbers to help with multiplication.
Separate the tens and ones of each number before multiplying.
What is the first step in partial products?A
The first step is to break the numbers into their tens and ones.
What is 57×34 ?
1,938
Why is it important to line up numbers correctly?
It helps ensure each place value is calculated accurately.
Explain why partial products are useful.
they simplify multiplication by breaking it down into easier steps and help visualize the process.
What is 62×41 ?
2,542
How does estimating help before multiplying?
Estimating gives you a rough idea of what the answer should be, helping you to check your work.